092:15 PMEach month, henry weeds gardens for 15 hours and mows lawns for x hours.For each job, he is paid $9 per hour. He wants

Question

Katarina [22]

1 year ago

7

092:15 PMEach month, henry weeds gardens for 15 hours and mows lawns for x hours.For each job, he is paid $9 per hour. He wants

to earn at least $252 per month.Write an inequality to model this situation. Solve and interpret the solution.

Mathematics

1 answer:

ankoles [38] · Answer 1 · 2024-01-01T11:10:47+03:00

ankoles [38]1 year ago

6 0

We know that he weeds gardens for 15 hours, and mows lawns for x hours.

If he wants to earn $252 per month, we can express the following

$9\cdot15+9x\ge252$

Now, we solve for x

$\begin{gathered} 135+9x\ge252 \\ 9x\ge252-135 \\ 9x\ge117 \\ x\ge\frac{117}{9} \\ x\ge13 \end{gathered}$ <h2>Hence, he has to mow lawns for 13 hours to earn at least $252.</h2>